Atkin-Lehner |
3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717t |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-901883517332391 = -1 · 319 · 114 · 53 |
Discriminant |
Eigenvalues |
1 3- 1 -1 11- -2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17946,1105231] |
[a1,a2,a3,a4,a6] |
j |
59884554191/84499119 |
j-invariant |
L |
2.021629386401 |
L(r)(E,1)/r! |
Ω |
0.33693823197194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19239c1 57717x1 |
Quadratic twists by: -3 -11 |